Exactl $y'$

$f'(x)+\dfrac{f(x)}{x}-\sqrt{f(x)}=0$

If a function $f(x)$ satisfies the above equation and $f(1)=12$ , then which is of the following is true?

$A. f(x)=\dfrac{x^3+12x^{\frac{3}{2}}\sqrt{3}-2x^{\frac{3}{2}}-12\sqrt{3}+109}{9x}$

$B. f(x)=\dfrac{x^3+12x^{\frac{3}{2}}\sqrt{3}-2x^{\frac{3}{16}}-12\sqrt{3}+109}{9x}$

$C.f(x)=\dfrac{x^3+12x^{\frac{5}{2}}\sqrt{3}-2x^{\frac{3}{2}}-12\sqrt{31}+109}{9x}$

Clarification: $f'(x)$ is the first derivative of the function $f(x)$ .